Consider `triangleABC` and `triangleA_1B_1C_1` in such a way that `bar(AB)=bar(A_1B_1)` and `M, N, M_1 ,N_1` be the midpoints of `AB, BC, A_1B_1 and B_1C_1` respectively, then

If A_1B_1 and A_2B_2 are two focal chords of the parabola y^2=4a x , then the chords A_1A_2 and B_1B_2 intersect on

If the midpoint of the sides bar(BC), bar(CA), bar(AB) of DeltaABC are (3, -3), (3, -1), (1, 1) respectively then the vertices A, B, C are

If the midpoint of the sides bar(BC), bar(CA), bar(AB) of DeltaABC are (3, -3), (3, -1), (1, 1) respectively then the vertices A, B, C are

If the oints (a_1b_1),(a_2b_2) and (a_1-a_2,b_1-b_2) are collinear, then show that a_1b_2=a_2b_1

Consider the points A(1.2.7),B(2,6,3),C(3,10,-1) find bar(AB),bar(BC)

squareABCD is a parallelogram. (A_(1)) and B_(1) are midpoints of the sides bar(BC) and bar(AD) respectively. If vec("AA")_(1)+vec(AB)_(1)=lambda vec(AC) then lambda = …………

A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to the parabola at Aa n dB meet the y-axis at A_1a n dB_1 , respectively. If the area of trapezium AA_1B_1B is equal to 12 a^2, then the angle subtended by A_1B_1 at the focus of the parabola is equal to 2tan^(-1)(3) (b) tan^(-1)(3) 2tan^(-1)(2) (d) tan^(-1)(2)

A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to the parabola at Aa n dB meet the y-axis at A_1a n dB_1 , respectively. If the area of trapezium AA_1B_1B is equal to 12 a^2, then the angle subtended by A_1B_1 at the focus of the parabola is equal to 2tan^(-1)(3) (b) tan^(-1)(3) 2tan^(-1)(2) (d) tan^(-1)(2)